LIU You-qiong, FENG Jian-hu, REN Jiong, GONG Cheng-qi. A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations[J]. Applied Mathematics and Mechanics, 2014, 35(5): 542-553. doi: 10.3879/j.issn.1000-0887.2014.05.008
Citation: LIU You-qiong, FENG Jian-hu, REN Jiong, GONG Cheng-qi. A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations[J]. Applied Mathematics and Mechanics, 2014, 35(5): 542-553. doi: 10.3879/j.issn.1000-0887.2014.05.008

A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations

doi: 10.3879/j.issn.1000-0887.2014.05.008
Funds:  The National Natural Science Foundation of China(11171043)
  • Received Date: 2013-06-08
  • Rev Recd Date: 2014-04-03
  • Publish Date: 2014-05-15
  • A second-order Euler flux function based on the rotated Riemann solver approach was presented. This scheme was different from the grid-aligned finite-volume method or the finite-difference method based on dimensional splitting. It was a hybrid numerical scheme developed through particular combination of the HLLC scheme and HLL scheme. The HLL scheme was applied in the direction normal to shock waves to suppress the carbuncle phenomenon and the HLLC scheme was applied across shear layers to avoid excessive numerical dissipation. Numerical experiments show that the new rotated-hybrid scheme is extremely simple, carbuncle-free and highly efficient.
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